A Queens man bound his estranged wife with duct tape – as he forced her to endure an hours-long rape, while their 1-year-old daughter watched, police said yesterday.

The suspect – whose name is being withheld by The Post to protect the identity of his wife – is charged with rape, sodomy, unlawful imprisonment and endangering the welfare of a child.

At about 5:30 p.m. Sunday, the woman went to his basement apartment in Richmond Hill to pick up the child, who was visiting him.

Previously, the man had returned the child to the woman in public. But this time, the suspect, 56, said he couldn’t come outside because a cut on his finger kept him from zipping up his jacket, cops said.

So the woman went into the basement – where the suspect abducted her, forced her into a bedroom, and bound her with duct tape, police said.

Then, with the child present, the man allegedly raped and sodomized her.

At about 11 p.m., he left the apartment to run an errand – leaving the woman with the child duct-taped to her, said cops.

The victim managed to free herself and called cops.

The suspect didn’t return to the apartment – because, police theorize, he saw officers there and decided to flee.

His car was spotted outside the woman’s home in Kew Gardens yesterday afternoon.

Officers followed a trail of blood into the house, where they found him in his wife’s bedroom, with his wrists slit.

The woman and the suspect were reported in stable condition; the child was unharmed.